132392292480 has 640 divisors, whose sum is σ = 547176470400. Its totient is φ = 30251612160.

The previous prime is 132392292449. The next prime is 132392292493. The reversal of 132392292480 is 84292293231.

132392292480 is a `hidden beast` number, since 1 + 32 + 39 + 22 + 92 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41487685 + ... + 41490875.

It is an arithmetic number, because the mean of its divisors is an integer number (854963235).

Almost surely, 2^132392292480 is an apocalyptic number.

132392292480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132392292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273588235200).

132392292480 is an abundant number, since it is smaller than the sum of its proper divisors (414784177920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132392292480 is an frugal number, since it uses more digits than its factorization.

132392292480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3247 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 132392292480 in words is "one hundred thirty-two billion, three hundred ninety-two million, two hundred ninety-two thousand, four hundred eighty".